Question

cube the expression (2+2)​

Answer 1

Answer:

2 + 2 = 4 → 2²

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Answer 2

$64$ is the cube of the expression $(2+2)$

Cube of a expression

cube of an algebraic expression is given as:

$(a+b)^{3} =a^{3} +3a^{2} b+3ab^{2} +b^{3}$

This formula can be used to factorize the trinomials also.

Given the expression $(2+2)$ we must find its cube:

Comparing the expression $(2+2)^{3}$ with $(a+b)^{3}$;

$(2+2)^{3} =2^{3}$$+$$3$×$2^{2}$×$2$$+3$×$2$×$2^{2}$$+2^{3}$

$=8+$$3$×$4$×$2+$$3$×$2$×$4+8$

$=64$

or

$(2+2)^{3} =4^{3}$

first add the numbers inside the bracket then find its cube.

$=4$×$4$×4

$=64$

Therefore the cube of the expression $(2+2)$ is $64$

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